Assigned schedule can mean so many things so as already mentioned, find out what that means. We are luckier than most in that we only have 8 families sharing the one washer and it's on a sign-up basis so while it's usually a once a week thing, if you find you need more and there is an open block of time, you can sign up for another time.
The biggest challenge for us was that the building only had the blower and no tumbler - and that room was on the same schedule as the washer so you essentially end up having to bring your clothes to your apt and hang them wherever you can to dry! made no sense at all. Yes, it is not eco-friendly to use a tumbler, but after 6 months of dealing with crusty towels and a day of underwear being hung over the back of the couch, we bought a tumbler ourselves and have it in our apt....you need permission to do this but we didn't have any problem with the agency on this one as we had the type of tumbler and location all included in the information we gave them.
Not sure if I would pass up the apt though - it's not the easiest thing to find places, and for us, we have an amazing view of the lake and mountains to enjoy so dealing with the laundry was worth it! like a lot of other things that is a bit different from home, you tend to just get used to it or find other solutions after a while